402444204200016 has 160 divisors (see below), whose sum is σ = 1194393158945280. Its totient is φ = 115482007872000.

The previous prime is 402444204199943. The next prime is 402444204200021. The reversal of 402444204200016 is 610002402444204.

It is a happy number.

It is a super-2 number, since 2×402444204200016² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 402444204200016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13137091 + ... + 31264541.

It is an arithmetic number, because the mean of its divisors is an integer number (7464957243408).

Almost surely, 2^{402444204200016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402444204200016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597196579472640).

402444204200016 is an abundant number, since it is smaller than the sum of its proper divisors (791948954745264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

402444204200016 is a wasteful number, since it uses less digits than its factorization.

402444204200016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18129705 (or 18129699 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

The spelling of 402444204200016 in words is "four hundred two trillion, four hundred forty-four billion, two hundred four million, two hundred thousand, sixteen".